MAT 320 Texts and References

There are several good textbooks on elementary Mathematical Analysis. The main text used for the course is the following:

S. Lay, Analysis, with an Introduction to Proof, 3rd edition, Prentice Hall, 2001.

This book is available from the University Bookstore. There is also a copy on reserve in the Math/Physics Library.

Here are further references for MAT 320 students that can be used as guides or sources of examples and problems:

J. Marsden and M. Hoffman, Elementary Classical Analysis, 2nd edition, Freeman, 1993.

A standard introductory text. It has good explanations, nice pictures, many exercises. It contains much more material than we intend to cover in this course.

R. P. Boas, A Primer of Real Functions, 4th edition, Mathematical Association of America, 1996.

This is not a textbook per se, but it is an outstanding monograph written by a master expositor. Its style is lively and exciting, and it reads like a novel. It contains many nice examples and counter-examples, curious constructions, etc. We will assign parts of it for reading when appropriate.

W. Rudin, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill, 1976.

This is still the best available text on Mathematical Analysis, though it is somewhat advanced for this course. Try to check out different topics in it as we discuss them in class. Highly recommended for those who want to go to graduate school in a mathematics related field.

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